(* *)
(**************************************************************************)
-include "static_2/static/rdeq_fqup.ma".
+include "static_2/static/reqx_fqup.ma".
include "basic_2/rt_computation/rsx.ma".
(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
(* Advanced properties ******************************************************)
(* Basic_2A1: uses: lsx_atom *)
-lemma lfsx_atom (h) (G) (T): G ā¢ ā¬*[h,T] šā¦āā¦.
+lemma lfsx_atom (h) (G) (T): G ā¢ ā¬*š[h,T] ā.
#h #G #T
@rsx_intro #Y #H #HnT
lapply (lpx_inv_atom_sn ā¦ H) -H #H destruct
(* Note: the exclusion binder (ā§) makes this more elegant and much simpler *)
(* Note: the old proof without the exclusion binder requires lreq *)
lemma rsx_fwd_bind_dx_void (h) (G):
- āp,I,L,V,T. G ā¢ ā¬*[h,ā{p,I}V.T] šā¦Lā¦ ā G ā¢ ā¬*[h,T] šā¦L.ā§ā¦.
+ āp,I,L,V,T. G ā¢ ā¬*š[h,ā[p,I]V.T] L ā G ā¢ ā¬*š[h,T] L.ā§.
#h #G #p #I #L #V #T #H
@(rsx_ind ā¦ H) -L #L1 #_ #IH
@rsx_intro #Y #H #HT
elim (lpx_inv_unit_sn ā¦ H) -H #L2 #HL12 #H destruct
-/4 width=4 by rdeq_fwd_bind_dx_void/
+/4 width=4 by reqx_fwd_bind_dx_void/
qed-.
(* Advanced inversion lemmas ************************************************)
(* Basic_2A1: uses: lsx_inv_bind *)
lemma rsx_inv_bind_void (h) (G):
- āp,I,L,V,T. G ā¢ ā¬*[h,ā{p,I}V.T] šā¦Lā¦ ā
- ā§ā§ G ā¢ ā¬*[h,V] šā¦Lā¦ & G ā¢ ā¬*[h,T] šā¦L.ā§ā¦.
+ āp,I,L,V,T. G ā¢ ā¬*š[h,ā[p,I]V.T] L ā
+ ā§ā§ G ā¢ ā¬*š[h,V] L & G ā¢ ā¬*š[h,T] L.ā§.
/3 width=4 by rsx_fwd_pair_sn, rsx_fwd_bind_dx_void, conj/ qed-.